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Finding the Third Proportional to 190,609.50 and 400,875

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Solution

The third proportional to 190,609.50 and 400,875 is: 843,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,609.50 : 400,875 = 400,875 : x
  2. Step 2: Convert to fraction form
    190,609.50/400,875 = 400,875/x
  3. Step 3: Cross multiply
    190,609.50x = 400,875 × 400,875
  4. Step 4: Simplify right side
    190,609.50x = 160,700,765,625
  5. Step 5: Solve for x
    x = 160,700,765,625/190,609.50
  6. Step 6: Final answer
    x = 843,088.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.